Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 675, 360, 13, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 360, 13, 536 is 1
GCD(675, 360, 13, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 360, 13, 536 is 1
GCD(675, 360, 13, 536) = 1
Given Input numbers are 675, 360, 13, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 675, 360, 13, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 360, 13, 536 is 1.
Therefore, GCD of numbers 675, 360, 13, 536 is 1
Given Input Data is 675, 360, 13, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 13 is 13
Prime Factorization of 536 is 2 x 2 x 2 x 67
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(675, 360) = 5400
GCD(675, 360) = ( 675 x 360 ) / 5400
GCD(675, 360) = 243000 / 5400
GCD(675, 360) = 45
Step2:
Here we consider the GCD from the above i.e. 45 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(45, 13) = 585
GCD(45, 13) = ( 45 x 13 ) / 585
GCD(45, 13) = 585 / 585
GCD(45, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
GCD(1, 536) = 536 / 536
GCD(1, 536) = 1
GCD of 675, 360, 13, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 360, 13, 536?
GCD of 675, 360, 13, 536 is 1
2. Where do I get the detailed procedure to find GCD of 675, 360, 13, 536?
You can find a detailed procedure to find GCD of 675, 360, 13, 536 on our page.
3. How to find GCD of 675, 360, 13, 536 on a calculator?
You can find the GCD of 675, 360, 13, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.